Intrepid2
Intrepid2_HGRAD_TRI_C2_FEMDef.hpp
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42 
49 #ifndef __INTREPID2_HGRAD_TRI_C2_FEM_DEF_HPP__
50 #define __INTREPID2_HGRAD_TRI_C2_FEM_DEF_HPP__
51 
52 namespace Intrepid2 {
53 
54  // -------------------------------------------------------------------------------------
55 
56  namespace Impl {
57 
58  template<EOperator opType>
59  template<typename OutputViewType,
60  typename inputViewType>
61  KOKKOS_INLINE_FUNCTION
62  void
63  Basis_HGRAD_TRI_C2_FEM::Serial<opType>::
64  getValues( OutputViewType output,
65  const inputViewType input ) {
66  switch (opType) {
67  case OPERATOR_VALUE: {
68  const auto x = input(0);
69  const auto y = input(1);
70 
71  // output is a rank-2 array with dimensions (basisCardinality_, dim0)
72  output.access(0) = (x + y - 1.0)*(2.0*x + 2.0*y - 1.0);
73  output.access(1) = x*(2.0*x - 1.0);
74  output.access(2) = y*(2.0*y - 1.0);
75  output.access(3) = -4.0*x*(x + y - 1.0);
76  output.access(4) = 4.0*x*y;
77  output.access(5) = -4.0*y*(x + y - 1.0);
78  break;
79  }
80  case OPERATOR_D1:
81  case OPERATOR_GRAD: {
82  const auto x = input(0);
83  const auto y = input(1);
84  // output is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim)
85  output.access(0, 0) = 4.0*x + 4.0*y - 3.0;
86  output.access(0, 1) = 4.0*x + 4.0*y - 3.0;
87 
88  output.access(1, 0) = 4.0*x - 1.0;
89  output.access(1, 1) = 0.0;
90 
91  output.access(2, 0) = 0.0;
92  output.access(2, 1) = 4.0*y - 1.0;
93 
94  output.access(3, 0) = -4.0*(2.0*x + y - 1.0);
95  output.access(3, 1) = -4.0*x;
96 
97  output.access(4, 0) = 4.0*y;
98  output.access(4, 1) = 4.0*x;
99 
100  output.access(5, 0) = -4.0*y;
101  output.access(5, 1) = -4.0*(x + 2.0*y - 1.0);
102  break;
103  }
104  case OPERATOR_CURL: {
105  const auto x = input(0);
106  const auto y = input(1);
107  // CURL(u) = (u_y, -u_x), is rotated GRAD
108  output.access(0, 1) =-(4.0*x + 4.0*y - 3.0);
109  output.access(0, 0) = 4.0*x + 4.0*y - 3.0;
110 
111  output.access(1, 1) =-(4.0*x - 1.0);
112  output.access(1, 0) = 0.0;
113 
114  output.access(2, 1) = 0.0;
115  output.access(2, 0) = 4.0*y - 1.0;
116 
117  output.access(3, 1) = 4.0*(2.0*x + y - 1.0);
118  output.access(3, 0) = -4.0*x;
119 
120  output.access(4, 1) = -4.0*y;
121  output.access(4, 0) = 4.0*x;
122 
123  output.access(5, 1) = 4.0*y;
124  output.access(5, 0) = -4.0*(x + 2.0*y - 1.0);
125  break;
126  }
127  case OPERATOR_D2: {
128  // output is a rank-3 array with dimensions (basisCardinality_, dim0, DkCardinality)
129  // D2 -> (2,0) -> dx^2.
130  output.access(0, 0) = 4.0;
131  output.access(1, 0) = 4.0;
132  output.access(2, 0) = 0.0;
133  output.access(3, 0) =-8.0;
134  output.access(4, 0) = 0.0;
135  output.access(5, 0) = 0.0;
136 
137  // D2 -> (1,1) -> dx dy
138  output.access(0, 1) = 4.0;
139  output.access(1, 1) = 0.0;
140  output.access(2, 1) = 0.0;
141  output.access(3, 1) =-4.0;
142  output.access(4, 1) = 4.0;
143  output.access(5, 1) =-4.0;
144 
145  // D2 -> (0,2) -> dy^2
146  output.access(0, 2) = 4.0;
147  output.access(1, 2) = 0.0;
148  output.access(2, 2) = 4.0;
149  output.access(3, 2) = 0.0;
150  output.access(4, 2) = 0.0;
151  output.access(5, 2) =-8.0;
152  break;
153  }
154  case OPERATOR_MAX: {
155  const ordinal_type jend = output.extent(1);
156  const ordinal_type iend = output.extent(0);
157 
158  for (ordinal_type j=0;j<jend;++j)
159  for (ordinal_type i=0;i<iend;++i)
160  output.access(i, j) = 0.0;
161  break;
162  }
163  default: {
164  INTREPID2_TEST_FOR_ABORT( opType != OPERATOR_VALUE &&
165  opType != OPERATOR_GRAD &&
166  opType != OPERATOR_CURL &&
167  opType != OPERATOR_D1 &&
168  opType != OPERATOR_D2 &&
169  opType != OPERATOR_MAX,
170  ">>> ERROR: (Intrepid2::Basis_HGRAD_TRI_C2_FEM::Serial::getValues) operator is not supported");
171  }
172  }
173  }
174 
175  template<typename SpT,
176  typename outputValueValueType, class ...outputValueProperties,
177  typename inputPointValueType, class ...inputPointProperties>
178  void
179  Basis_HGRAD_TRI_C2_FEM::
180  getValues( Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValues,
181  const Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPoints,
182  const EOperator operatorType ) {
183  typedef Kokkos::DynRankView<outputValueValueType,outputValueProperties...> outputValueViewType;
184  typedef Kokkos::DynRankView<inputPointValueType, inputPointProperties...> inputPointViewType;
185  typedef typename ExecSpace<typename inputPointViewType::execution_space,SpT>::ExecSpaceType ExecSpaceType;
186 
187  // Number of evaluation points = dim 0 of inputPoints
188  const auto loopSize = inputPoints.extent(0);
189  Kokkos::RangePolicy<ExecSpaceType,Kokkos::Schedule<Kokkos::Static> > policy(0, loopSize);
190 
191  switch (operatorType) {
192 
193  case OPERATOR_VALUE: {
194  typedef Functor<outputValueViewType,inputPointViewType,OPERATOR_VALUE> FunctorType;
195  Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints) );
196  break;
197  }
198  case OPERATOR_GRAD:
199  case OPERATOR_D1: {
200  typedef Functor<outputValueViewType,inputPointViewType,OPERATOR_GRAD> FunctorType;
201  Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints) );
202  break;
203  }
204  case OPERATOR_CURL: {
205  typedef Functor<outputValueViewType,inputPointViewType,OPERATOR_CURL> FunctorType;
206  Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints) );
207  break;
208  }
209  case OPERATOR_DIV: {
210  INTREPID2_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_DIV), std::invalid_argument,
211  ">>> ERROR (Basis_HGRAD_TRI_C2_FEM): DIV is invalid operator for rank-0 (scalar) fields in 2D.");
212  break;
213  }
214  case OPERATOR_D2: {
215  typedef Functor<outputValueViewType,inputPointViewType,OPERATOR_D2> FunctorType;
216  Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints) );
217  break;
218  }
219  case OPERATOR_D3:
220  case OPERATOR_D4:
221  case OPERATOR_D5:
222  case OPERATOR_D6:
223  case OPERATOR_D7:
224  case OPERATOR_D8:
225  case OPERATOR_D9:
226  case OPERATOR_D10: {
227  typedef Functor<outputValueViewType,inputPointViewType,OPERATOR_MAX> FunctorType;
228  Kokkos::parallel_for( policy, FunctorType(outputValues, inputPoints) );
229  break;
230  }
231  default: {
232  INTREPID2_TEST_FOR_EXCEPTION( !( Intrepid2::isValidOperator(operatorType) ), std::invalid_argument,
233  ">>> ERROR (Basis_HGRAD_TRI_C2_FEM): Invalid operator type");
234  }
235  }
236  }
237 
238  }
239  // -------------------------------------------------------------------------------------
240 
241 
242  template< typename SpT, typename OT, typename PT>
243  Basis_HGRAD_TRI_C2_FEM<SpT,OT,PT>::
244  Basis_HGRAD_TRI_C2_FEM() {
245  this->basisCardinality_ = 6;
246  this->basisDegree_ = 2;
247  this->basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Triangle<3> >() );
248  this->basisType_ = BASIS_FEM_DEFAULT;
249  this->basisCoordinates_ = COORDINATES_CARTESIAN;
250  this->functionSpace_ = FUNCTION_SPACE_HGRAD;
251 
252  // initialize tags
253  {
254  // Basis-dependent initializations
255  const ordinal_type tagSize = 4; // size of DoF tag, i.e., number of fields in the tag
256  const ordinal_type posScDim = 0; // position in the tag, counting from 0, of the subcell dim
257  const ordinal_type posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal
258  const ordinal_type posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell
259 
260  // An array with local DoF tags assigned to the basis functions, in the order of their local enumeration
261  ordinal_type tags[24] = { 0, 0, 0, 1,
262  0, 1, 0, 1,
263  0, 2, 0, 1,
264  1, 0, 0, 1,
265  1, 1, 0, 1,
266  1, 2, 0, 1};
267 
268  //host tags
269  OrdinalTypeArray1DHost tagView(&tags[0], 24);
270 
271  // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays:
272  this->setOrdinalTagData(this->tagToOrdinal_,
273  this->ordinalToTag_,
274  tagView,
275  this->basisCardinality_,
276  tagSize,
277  posScDim,
278  posScOrd,
279  posDfOrd);
280  }
281 
282  // dofCoords on host and create its mirror view to device
283  Kokkos::DynRankView<typename ScalarViewType::value_type,typename SpT::array_layout,Kokkos::HostSpace>
284  dofCoords("dofCoordsHost", this->basisCardinality_,this->basisCellTopology_.getDimension());
285 
286  dofCoords(0,0) = 0.0; dofCoords(0,1) = 0.0;
287  dofCoords(1,0) = 1.0; dofCoords(1,1) = 0.0;
288  dofCoords(2,0) = 0.0; dofCoords(2,1) = 1.0;
289  dofCoords(3,0) = 0.5; dofCoords(3,1) = 0.0;
290  dofCoords(4,0) = 0.5; dofCoords(4,1) = 0.5;
291  dofCoords(5,0) = 0.0; dofCoords(5,1) = 0.5;
292 
293  this->dofCoords_ = Kokkos::create_mirror_view(typename SpT::memory_space(), dofCoords);
294  Kokkos::deep_copy(this->dofCoords_, dofCoords);
295  }
296 
297 }// namespace Intrepid2
298 #endif
Intrepid2::Basis::OrdinalTypeArray1DHost
Kokkos::View< ordinal_type *, typename ExecSpaceType::array_layout, Kokkos::HostSpace > OrdinalTypeArray1DHost
View type for 1d host array.
Definition: Intrepid2_Basis.hpp:135
Intrepid2::Basis_HGRAD_TRI_C2_FEM::Basis_HGRAD_TRI_C2_FEM
Basis_HGRAD_TRI_C2_FEM()
Constructor.
Definition: Intrepid2_HGRAD_TRI_C2_FEMDef.hpp:244
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